GCD of 808, 476, 86, 866 Calculator

Given Input numbers are 808, 476, 86, 866

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 808, 476, 86, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 476, 86, 866 is 2.

Therefore, GCD of numbers 808, 476, 86, 866 is 2

Given Input Data is 808, 476, 86, 866

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 866 is 2 x 433

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(808, 476) = 96152

GCD(808, 476) = ( 808 x 476 ) / 96152

GCD(808, 476) = 384608 / 96152

GCD(808, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

GCD of 808, 476, 86, 866 is 2

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1. What is the GCD of 808, 476, 86, 866?

GCD of 808, 476, 86, 866 is 2

2. Where do I get the detailed procedure to find GCD of 808, 476, 86, 866?

You can find a detailed procedure to find GCD of 808, 476, 86, 866 on our page.

3. How to find GCD of 808, 476, 86, 866 on a calculator?

You can find the GCD of 808, 476, 86, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.